Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) – tan²(24.57°)

Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) – tan²(24.57°)

(a)          0

(b)          1

(c)           -1

(d)          2

Sol:

sin²A + Sin²B = 1 [ when A + B = 90°]

1+cosec ²(65.43°) – cot²(65.43°)

=1+1

=2

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